| 无限维关联系统的弦稳定性 |
| |
| 引用本文： | 张继业,杨翊仁,曾京.无限维关联系统的弦稳定性[J].应用数学和力学,2000,21(7):715-720. |
| |
| 作者姓名： | 张继业 杨翊仁 曾京 |
| |
| 作者单位： | 1.西南交通大学牵引动力国家重点实验室, 成都610031; |
| |
| 基金项目： | 国家自然科学基金!资助项目 (5993510 0 ) |
| |
| 摘 要： | 对一类无限维关联系统引入弦稳定概念。系统弦稳定意谓着,当关联系统的初始状态为有界时,对任意时刻系统的状态也是有界的。本文将向量V函数法推广到无限维系统中,得到了关联系统渐近弦稳定的充分条件,克服了以前的方法在处理非线性系统的稳定性问题上的困难,扩大了系统稳定的参数范围。
|
| 关 键 词： | 无限维 关联系统 向量V函数法 弦稳定性 |
| 收稿时间： | 1998-07-24 |
| 修稿时间： | 1998-07-24 |
String Stability of Infinite Interconnected Systems |
| |
| Zhang Jiye,Yang Yiren,Zeng Jing.String Stability of Infinite Interconnected Systems[J].Applied Mathematics and Mechanics,2000,21(7):715-720. |
| |
| Authors: | Zhang Jiye Yang Yiren Zeng Jing |
| |
| Institution: | 1.National Traction Power Laboratory, Southwest Jiaotong University, Chengdu 610031, P R China;2.Institute of Applied Mechanics, Southwest Jiaotong University, Chengdu 610031, P R China |
| |
| Abstract: | The notion of string stability of a countably infinite interconnection of a class of nonlinear system was introduced.Intuitively,string stability implies uniform boundedness of all the states of the interconnected system for all time if the initial states of the interconnected system are uniformly bounded.Vector V-function method used to judge the stability is generalized for infinite interconnected system and sufficient conditions which guarantee the asymptotic string stability of a class of inter-connected system are given.The stability regions obtained here are much larger than those in previous papers.The method given here overcomes some difficulties to deal with stability of infinite nonlinear interconnected system in previous papers. |
| |
| Keywords: | infinite_dimension interconnected system vector V_function method string stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
